There are (36)2 ⋅ 30 candies in a store. What is the total number of candies in the store? 33 34 38 312
The total number of candies are 3¹² if there are (3⁶)² . 3⁰ candies in a store; the answer is 3¹² candies option (D) 3¹² is correct.
What is integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (3⁶)² . 3⁰
As we know, from the properties of the integer exponent:
After using the properties of the integer exponent:
(3⁶)² = 3¹²
3⁰ = 1
(3⁶)² . 3⁰ = 3¹²
Thus, the total number of candies are 3¹² if there are (3⁶)² . 3⁰ candies in a store; the answer is 3¹² candies option (D) 3¹² is correct.
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152.5 is 250% of what number?
f(x)=2.8x-12 g(x)=5.8x+9
-7(k+9)=9(k-5)-14k I need help with this can someone help me
How many peptide bonds are present in a polypeptide that contains 45 amino acids?
A peptide bond forms between two amino acids by a dehydration synthesis reaction. The number of peptide bonds in a polypeptide is always one less than the total number of amino acids. Therefore, in a polypeptide with 45 amino acids, there would be 44 peptide bonds.
Explanation:A peptide bond is a chemical bond that forms between two amino acids when a carboxyl group of one amino acid reacts with the amino group of the other amino acid, releasing a molecule of water. This is a dehydration synthesis reaction, and it is how amino acids are linked together to form a polypeptide.
In a polypeptide chain, the number of peptide bonds present is always one less than the total number of amino acids. This is because each amino acid has one peptide bond with the next amino acid in the chain, except the last one. Hence, for 45 amino acids, there would be 44 peptide bonds.
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How to say 4.110 in words
Factor out the coefficient of the variable 1/2d + 6
a large number is 5 more than twice a smaller number. their sum is 80. find the numbers
Barney has 16 1/5 yards of fabric. To make an elf costume, he needs 5 2/5 yards of fabric. How many costumes can Barney make?
Answer:
Barney can make 3 costumes
Step-by-step explanation:
T = 16 1/5 = 81/5 yards
O = 5 2/2 = 27/5 yards/costume.
We have the total fabric (T) and the unitari costume requirement (O). Now, if we want to know the amount of costumes that Barney can make, we can divide total fabric (T) by the unitari costume requirement (O), the result will be the amount of costumes (A).
[tex]A = \frac{T}{O}=\frac{\frac{81}{5}}{\frac{27}{5}} =\frac{81*5}{5*27} =\frac{81}{27}\\A = \frac{81}{27} =\frac{9}{3} = 3 costumes[/tex]
Finally, we can conclude that Barney can make 3 costumes.
Question Below And Please Answer ASAP!!
What is the equation of the graphed line?
Hint: Determine the slope of the line.
y = / x
Point Z is equidistant from the vertices of ΔTUV. Which must be true
Helppp me understand plssss
the triangles shown below must be congruent. right awnsers only please.
melissa has 14 reports to file, if each report takes an average of 1 hour and 15 mins, how long would it take to file 70% of them?
Answer:
12 hours 15 min
Step-by-step explanation:
Melissa has 14 reports to file.
She file 70% of report. She takes average of 1 hour and 15 minutes for each report.
First we find number of reported by Melissa.
Number of reported = 70% of 14
= 9.8
1 hour 15 min [tex]=\dfrac{5}{4}[/tex] hours
For 1 report of file [tex]=\dfrac{5}{4}[/tex] hours
For 9.8 reports of file [tex]=9.8\times \dfrac{5}{4}\approx 12.25[/tex] hours
She will take 12.25 hours to report 70% of them.
12.25 hours = 12 hours 15 min
Hence, Melissa will take 12 hours 15 min to file 70% of report.
A parking lot has the shape of a rectangle. A scale drawing for the parking lot measures 6cm by 20cm. The scale is 1cm : 15m. Find the area of the parking lot.
Answer:
The answer for the area of the parking lot is 27,000m²
Step-by-step explanation:
Given that the shape of the parking lot is a rectangle we can model the area using the formula for area of a rectangle Which is
A= length *width
Step two :
Given length 20cm
Width 6cm
Furthermore the scale is
1cm:15m
That is 1cm represents 15m on paper
Therefore the length in meters
=20*15=300m
Width in meter
=6*15=90m
Area =300*90
Area =27,000m²
Nadia flips a fair quarter twice. What is the probability that the coin will land on heads both times
A model of a sky scraper is made so that 1 inch represents 75 feet. What is the height of the actual building if the height of the model is 18 3/5 inches?
For the past three months, Grace has been using her cellphone for 43 minutes, 62 minutes, and 57 minutes. How many minutes would she have to use her cellphone this month for the average usage over 4 months to be 55 minutes? Plz help thxs
average for 4 months total needs to equal 55*4 = 220 minutes
43 + 62 + 57 = 162
220-162 = 58
58 minutes
what is the simplified form of the following expression √1/169
The first four terms of a sequence are shown below. 6, 2, -2, -6 Which of the following functions best defines this sequence?
There are 35 more musicians in the String section of a city Symphony Orchestra than in its Brass section. There are 29 musicians in the Brass section. 1. How many musicians in all are in the String and Brass sections of the Symphony Orchestra?
Final answer:
There are a total of 93 musicians in both the String and Brass sections of the Symphony Orchestra, with 29 in the Brass and 64 in the String section.
Explanation:
To determine how many musicians are in both the String and Brass sections of the Symphony Orchestra, we start by noting that there are 29 musicians in the Brass section. Since there are 35 more musicians in the String section, we add 35 to the number of Brass musicians to find the total in the String section:
Number of musicians in the String section = Number of musicians in the Brass section + 35 = 29 + 35 = 64 musicians.To find the total number of musicians in both sections, we then add the number of musicians in the Brass section:Total number of musicians in both sections = Number of musicians in the Brass section + Number of musicians in the String section = 29 + 64 = 93 musicians.An industrial machine can make four hundred seventy nine crayons a day if each box has 2 crayons how many full packs does it make a day
Make a table of ordered pairs for the equation.
y=−1/3x+1
Then plot two points to graph the equation.
We want to make a table of ordered pairs for the given equation, and then graph two of these points to graph the equation.
We have the equation:
y = (-1/3)*x + 1
We can make the table:
[tex]\left[\begin{array}{ccc}x&y\\-1&\\0&\\1&\\3&\end{array}\right][/tex]
To complete the table, we just need to evaluate the given equation in these x-values. We will get:
y(-1) = (-1/3)*(-1) + 1 = 1/3 + 1 = 4/3
y(0) = (-1/3)*0 + 1 = 1
y(1) = (-1/3)*1 + 1 = 2/3
y(3) = (-1/3)*3 + 1 = 0
Now we just complete the table with the values that we got:
[tex]\left[\begin{array}{ccc}x&y\\-1&4/3\\0&1\\1&2/3\\3&0\end{array}\right][/tex]
Now to graph the equation, we can graph two of these points, for simplicity I will graph (0, 1) and (3, 0).
Once the points are graphed, we just need to draw a line that connects them. The graph can be seen below.
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the number of students enrolled in school increased by 12% from last year to this year. The enrollment last year was 15,500. What is the enrollment this year?
To find the enrollment this year, calculate 12% of last year's enrollment and add it to the enrollment from last year. The enrollment this year is 17,360.
Explanation:To find the enrollment this year, we need to calculate 12% of last year's enrollment and add it to the enrollment from last year.
Calculate 12% of 15,500: 12% × 15,500 = 0.12 × 15,500 = 1,860.Add 1,860 to last year's enrollment: 15,500 + 1,860 = 17,360.Therefore, the enrollment this year is 17,360.
how much longer is a 1-inch button than a 3/8-inch button?
we know that
The button has the shape of a circle
the circumference of a circle is equal to
[tex]C=\pi D[/tex]
where
D is the diameter of a circle
Step [tex]1[/tex]
Find the circumference of the 1-inch button
In this case we have that the diameter is equal to
[tex]D1=1\ in[/tex]
substitute the value in the formula
[tex]C1=\pi*1= \pi\ in[/tex]
Step [tex]2[/tex]
Find the circumference of the 3/8-inch button
In this case we have that the diameter is equal to
[tex]D2=3/8\ in[/tex]
substitute the value in the formula
[tex]C2=\pi*3/8= 3\pi/8\ in[/tex]
Step [tex]3[/tex]
Find the difference of their circumferences
[tex]C1-C2=\pi-3\pi/8=5\pi/8\ in[/tex]
therefore
the answer is
[tex]5\pi/8\ in[/tex]
Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie is pushing a lawn mower and can mow the field in 75 minutes.
If Roni and Allie work together to mow the field, what part of the field would Roni mow?
Answer:
0.71
Step-by-step explanation:
Need help! plzzzzz help
Find the value of k if it is known that the graph of y=kx goes through:
A(4, −80)
Answer:
k = ____
Graph is a representation of data by using the vertices and edges to convert the data in easily understandable form. Graph contains two axis, a vertical axis and a horizontal axis. These axis are also denoted as x axis and y axis.
In the given question we have to find the value of k using the points of graph on x axis and y axis.
Given
The graph passes through [tex]\rm\:A (4, -80)[/tex]
Value of [tex]\rm\;x= 4[/tex]
Value of [tex]\rm y=-80[/tex]
CalculationThe value of k can be determined by the graphical intersection of the points on x axis and y axis. By putting the value of x and y in the given equation we got:
[tex]\begin{aligned}\rm\;y&=kx\\\\k(4)&=-80\\\\k&=\dfrac{-80}{4} \\\\k&=-20\end[/tex]
Therefore by putting the values of x and y we found that the value of [tex]\rm\:k=-20[/tex]
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Solve this equation zma=a+b ;for a